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Other Intangible Assets
 12 Months Ended
Dec. 31, 2018
Other Intangible Assets Disclosure [Abstract]  
Other Intangible Assets Other Intangible Assets
Our identifiable intangible assets are as follows (in thousands):
 
 
Useful
 
 
 
Accumulated
 
 
As of December 31, 2018
 
Life
 
Gross
 
Amortization
 
Net
Intangible assets subject to amortization:
 
 
 
 
 
 
 
 
Supply contract
 
11.5
 
$
12,227

 
$
(12,227
)
 
$
—

Marketing contract
 
20
 
$
144,219

 
$
(6,009
)
 
138,210

Intangible assets not subject to amortization:
 
 
 
 
 
 
 
 
Rights-of-way assets
 
Indefinite
 
15,828

 
 
 
15,828

Total
 
 
 
$
172,274

 
$
(18,236
)
 
$
154,038

 
 
Useful
 
 
 
Accumulated
 
 
As of December 31, 2017
 
Life
 
Gross
 
Amortization
 
Net
Intangible assets subject to amortization:
 
 
 
 
 
 
 
 
Supply contract
 
11.5
 
$
12,227

 
$
(12,138
)
 
$
89

Intangible assets not subject to amortization:
 
 
 
 
 
 
 
 
Rights-of-way assets
 
Indefinite
 
15,828

 
 
 
15,828

Total
 
 
 
$
28,055


$
(12,138
)
 
$
15,917


Amortization of intangible assets was $6.1 million during the year ended December 31, 2018 and $1.1 million during each of the years ended December 31, 2017 and 2016, and is included in depreciation and amortization with respect to the supply contract and as a component of net revenue with respect to the marketing contract on the accompanying consolidated statements of income and comprehensive income. Amortization expense is estimated to be $7.2 million for each of the years ended December 31, 2019 through 2023.